| Base | Representation |
|---|---|
| bin | 110111111011010001… |
| … | …0010101010100000000 |
| 3 | 102110222222221000010120 |
| 4 | 1233312202111110000 |
| 5 | 3431431134443240 |
| 6 | 131101234300240 |
| 7 | 11451124545102 |
| oct | 1576642252400 |
| 9 | 373888830116 |
| 10 | 120100312320 |
| 11 | 46a3054a26a |
| 12 | 1b339427680 |
| 13 | b42cc0a081 |
| 14 | 5b547b9572 |
| 15 | 31cdbbcad0 |
| hex | 1bf6895500 |
120100312320 has 288 divisors, whose sum is σ = 397565521920. Its totient is φ = 30862540800.
The previous prime is 120100312309. The next prime is 120100312331. The reversal of 120100312320 is 23213001021.
It is an interprime number because it is at equal distance from previous prime (120100312309) and next prime (120100312331).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 120100312320.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104343745 + ... + 104344895.
It is an arithmetic number, because the mean of its divisors is an integer number (1380435840).
Almost surely, 2120100312320 is an apocalyptic number.
120100312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 120100312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198782760960).
120100312320 is an abundant number, since it is smaller than the sum of its proper divisors (277465209600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120100312320 is a wasteful number, since it uses less digits than its factorization.
120100312320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2141 (or 2127 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 120100312320 its reverse (23213001021), we get a palindrome (143313313341).
It can be divided in two parts, 12010031 and 2320, that added together give a triangular number (12012351 = T4901).
The spelling of 120100312320 in words is "one hundred twenty billion, one hundred million, three hundred twelve thousand, three hundred twenty".
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